WORK OF C. M. STINE. 27 



From the equation 



looo- H^ xioool 



M= ^ J 



18 

 we have 



X=1000-~i 1 (1) 



where 3.371 is the lowering found for 0.85 N calcium chloride by calculation from 

 the value of a given in table 11, and L Ca =the lowering observed for calcium chloride, 

 corrected properly for water less than 1,000 grams, and multiplied by m. 

 Similarly, 



217 T 3332 



Tsl> x = im -W, (2) 



Let L = observed lowering due to magnesium chloride. Then, 13.5 L' Q = 

 observed lowering due to calcium chloride (vide table 11). 

 Then, 



,/_ Lji/X0.85 



~ __x__jl (3) 



1000 100 



where 0.85 is the normality in question, and the denominator is the necessary per- 

 centage correction, based upon the value of X and the correction given in table 11. 

 Similarly, 



(4) 



From equation (1), 



From equation (2), 



m 1.000 -1.148X 



(5) 



(6) 



Eliminating L'o by combining equations (3) and (4), and then substituting the 

 values of Lc a and Lm b from (5) and (6), it becomes possible to solve for X. By this 

 method the values of M for calcium chloride and magnesium chloride in this mixture 

 are found to be 17.1 and 19.6, respectively. 



By the above methods the values of M for the mixtures between 0.9 N and 2.9 

 N have been derived, and are given in table 14, under M c . The abbreviations at the 

 top of each column have the usual significance, the suffix c indicating that the values 

 are for the salt in the mixture. 



